Step-by-step explanation:
6 men → 4 days → 3 metres
1 man → 24 days → 3 metres
1 man → 8 days → 1 metres
1 man → 56 days → 7 metres
10 men → 5.6 days → 7 metres
therefore, 5.6 days
Topic: direct n inverse proportions
If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!
Answer:
It will take 5.6 days for the 10 men to dig the same hole 7 m deep.
Step-by-step explanation:
Laying the data in column
----------------------------------------------------
6 men 3 m hole 4 days
10 men 7 m hole x days
-----------------------------------------------------
As [tex]6[/tex] men dig a hole in [tex]4[/tex] days, so their rate will be:
[tex]rate\:=\:\frac{4}{3}[/tex]
Then [tex]6[/tex] men would take [tex]7\times \frac{4}{3}=\frac{28}{3}[/tex] days to dig a hole of depth 7 m.
As we are letting 10 men do work, so they would
take [tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex] days.
so
[tex]\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}[/tex]
[tex]=5.6[/tex] days
Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.
